1978 JAMB UTME Mathematics Past Questions

1978

If sec2 \(\theta\) + tan2 \(\theta\) = 3, then the angle \(\theta\) is equal to

1978

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

1978

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

1978

A triangle has angles 30\(^{\circ}\), 15\(^{\circ}\) and 135\(^{\circ}\). The side opposite to the angle 30\(^{\circ}\) is length 6cm. The side opposite to the angle 135\(^{\circ}\) is equal to

1978

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is

1978

In a geometric progression, the first term is 153 and the sixth term is \(\frac{17}{27}\). The sum of the first four terms is

1978

A pyramid is constructed on a cuboid. The figure has

1978

A man runs a distance of 9km at a constant speed for the first 4 km and then 2 km\h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is

1978

A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is

1978

If 3x - \(\frac{1}{4}\)-\(\frac{1}{2}\) > \(\frac{1}{4}\) - x, then the interval of values of x is

1978

The minimum point on the curve y = x2 - 6x + 5 is at

1978

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is

1978

Simplify \(\frac{a - b}{a + b}\) - \(\frac{a + b}{a - b}\)

1978

If the four interior angles of a quadrilateral are (p + 10)\(^{\circ}\), (p - 30)\(^{\circ}\), (2p - 450\(^{\circ}\), and (p + 15)\(^{\circ}\), then p is

1978

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface reduced?

1978

Given that ab = ab + a + b and that a0b = a + b = 1. Find an expression (not involving or 0) for (ab) 0 (ac) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of n…

1978

Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now

1978

If y = 2x2 + 9x - 35. Find the range of values for which y < 0.

1978

1978 JAMB UTME Mathematics Past Questions

If sec2 \(\theta\) + tan2 \(\theta\) = 3, then the angle \(\theta\) is equal to

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

A triangle has angles 30\(^{\circ}\), 15\(^{\circ}\) and 135\(^{\circ}\). The side opposite to the angle 30\(^{\circ}\) is length 6cm. The side opposite to the angle 135\(^{\circ}\) is equal to

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is

In a geometric progression, the first term is 153 and the sixth term is \(\frac{17}{27}\). The sum of the first four terms is

A pyramid is constructed on a cuboid. The figure has

A man runs a distance of 9km at a constant speed for the first 4 km and then 2 km\h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is

A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is

If 3x - \(\frac{1}{4}\)-\(\frac{1}{2}\) > \(\frac{1}{4}\) - x, then the interval of values of x is

The minimum point on the curve y = x2 - 6x + 5 is at

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is

Simplify \(\frac{a - b}{a + b}\) - \(\frac{a + b}{a - b}\)

If the four interior angles of a quadrilateral are (p + 10)\(^{\circ}\), (p - 30)\(^{\circ}\), (2p - 450\(^{\circ}\), and (p + 15)\(^{\circ}\), then p is

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface reduced?

Given that ab = ab + a + b and that a0b = a + b = 1. Find an expression (not involving or 0) for (ab) 0 (ac) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of n…

Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now

If y = 2x2 + 9x - 35. Find the range of values for which y < 0.

Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is

What is the number whose logarithm to base 10 is 2.3482?

1978 JAMB UTME Mathematics Past Questions

If sec2 \(\theta\) + tan2 \(\theta\) = 3, then the angle \(\theta\) is equal to

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

A triangle has angles 30\(^{\circ}\), 15\(^{\circ}\) and 135\(^{\circ}\). The side opposite to the angle 30\(^{\circ}\) is length 6cm. The side opposite to the angle 135\(^{\circ}\) is equal to

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is

In a geometric progression, the first term is 153 and the sixth term is \(\frac{17}{27}\). The sum of the first four terms is

A pyramid is constructed on a cuboid. The figure has

A man runs a distance of 9km at a constant speed for the first 4 km and then 2 km\h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is

A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is

If 3x - \(\frac{1}{4}\)-\(\frac{1}{2}\) &gt; \(\frac{1}{4}\) - x, then the interval of values of x is

The minimum point on the curve y = x2 - 6x + 5 is at

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is

Simplify \(\frac{a - b}{a + b}\) - \(\frac{a + b}{a - b}\)

If the four interior angles of a quadrilateral are (p + 10)\(^{\circ}\), (p - 30)\(^{\circ}\), (2p - 450\(^{\circ}\), and (p + 15)\(^{\circ}\), then p is

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface reduced?

Given that a*b = ab + a + b and that a0b = a + b = 1. Find an expression (not involving * or 0) for (a*b) 0 (a*c) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of n…

Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now

If y = 2x2 + 9x - 35. Find the range of values for which y &lt; 0.

Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is

What is the number whose logarithm to base 10 is 2.3482?

If 3x - \(\frac{1}{4}\)-\(\frac{1}{2}\) > \(\frac{1}{4}\) - x, then the interval of values of x is

Given that ab = ab + a + b and that a0b = a + b = 1. Find an expression (not involving or 0) for (ab) 0 (ac) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of n…

If y = 2x2 + 9x - 35. Find the range of values for which y < 0.